PROBLEM 1: (a) Convert the binary numbers 101 and 110101101 to decimal representation. (b) Convert the decimal numbers 1

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Problem 1 A Convert The Binary Numbers 101 And 110101101 To Decimal Representation B Convert The Decimal Numbers 1 1 (872.24 KiB) Viewed 83 times

Problem 1 A Convert The Binary Numbers 101 And 110101101 To Decimal Representation B Convert The Decimal Numbers 1 2 (90.72 KiB) Viewed 83 times

Problem 1 A Convert The Binary Numbers 101 And 110101101 To Decimal Representation B Convert The Decimal Numbers 1 3 (36.65 KiB) Viewed 83 times

PROBLEM 1: (a) Convert the binary numbers 101 and 110101101 to decimal representation. (b) Convert the decimal numbers 13 and 333 to binary representation. (c) For the following operations, convert the decimal numbers to binary, then add (or multiply) them together. Convert the answer back to decimal to check that your calculation was done correctly: (1) 90+5 (11) 9 x 5 PROBLEM 2: t (a) In the picture of a goose on the left, each pixel can be described with a single bit because the color is either black or white. Roughly how many bits are needed to construct the image? Estimate the space such a picture file would take up on your computer (8 bits = 1 byte). Note: the grid lines are there to help you distinguish the pixels- don't consider them as part of the image. (b) The slightly better picture of the goose on the right uses 24 bit color depth and has a resolution of 600 x 480 pixels. Estimate how many bits are needed to construct the image and estimate the space the picture file would take up on your computer.
The transistor circuit shown to the right takes binary (0 or 1 volt) inputs A and B, and produces a binary output X. This circuit is an example of a(n)_ gate. [a] inverter OR [d] AND [e] NAND You need to make a circuit that detects whether or not an input binary number is 101 (the decimal number 5). The inputs A, B, C represent the three digits of the number. Your circuit output X should be 1 when A=1, B=0, C-1, but should be 0 otherwise. Use any logic gates you want to accomplish this and draw them connected to each other inside the box. PROBLEMS 5 + 6: A B A B с 1 volt [c] NOR [f] XOR A B 0 volts Complete the truth table for the following digital logic gate circuit. X A B X 00 01 10 1 Design your own logic gate circuit so that it obeys the following truth table for binary inputs A and B, and output X. You may use INVERTER, AND, OR, or XOR gates, as many as you need. There are many answers to this question. A BIX 00 0 1 10 1 1 1 0 X 0 1
PROBLEM 7 + 8: For the logic gate diagram on the right, with binary A inputs A and B, complete B- the truth table for the output X. For the transistor circuit shown on the right, with binary inputs A and B, complete the truth table for the output X. 1 V- 3 OV Zada A X X A BI X 00 01 10 1 1 A BI X 00 T 01 10 1 1