# Why do flip-flops require set-up times? What happens when the set-up time is not met?

why do

multiplexers come in sizes where the inputs are a power of 2 (e.g., 2-to-1, 4-to-1, 8-to-1, etc.)?

explain why the least-significant stage in a 4-bit adder-subtractor must be a full-adder and not a half-adder.

### Save your time - order a paper!

Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines

Order Paper Now

explain how to design a circuit using a truth table to define the required outputs given all input conditions.

Using a 4-bit adder/subtractor circuit, carry out the binary operation (-7) + (-3). What can you conclude about the answer?

Why do computers use binary numbers?

Briefly explain why the carry-in bit (CIN) on the 4-bit binary adder discussed in the lecture is connected to ground.

How do you wire the D input of a D-type flip-flop so that the output toggles?

How many select lines are required for a 16-to-1 multiplexer? Explain how you determined your answer

Develop the Boolean equation for the output of a 2-to-1 multiplexer with select line S, inputs I0 and I1, and output Y. Use an apostrophe to indicate negation (e.g., use A’ for )

A 2-bit parallel adder has inputs of A1 = 1, A2 = 0, B1 = 1, B2 = 0, Cin . What are the values for S1, S2, C1, and Cout? Demonstrate how you derived your answer.

Using signed 8-bit representation, determine the result of 112 + 53. Show how you got your answer using binary arithmetic and the 2’s complement system.

What is the binary signed value for -67 using 8-bit, 2’s complement format? Show how you got your answer.