# Multiplexer Conversion

2. Given a 16-to-1 Multiplexer, how many of the following are required:

a) Inputs _______

b) Outputs _____

c) Control signals ______

3. Given the following information:

1. 1024 words (1K)

16 bits/word

8 bits/byte

How many bytes are available? _______

4. Convert the following numbers as indicated

a) 255 decimal into ____________ binary

b) 171 decimal into ____________ binary

c) 22 decimal into ____________ binary

d) 11111111 binary into _____ decimal

e) 10100101 binary into _____ decimal

f) 01100001 binary into _____ decimal

g) EC A8 63 hexadecimal into _________________________binary

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#### Solution Preview

2) 16 to 1 multiplexer

Number of inputs: 16

Number of outputs: 1

Control Signals: log2(16) = 4

3) {1024 words} * {16 bits/word} / {8 bits/byte} = 1024*16 / 8 = 2048 bytes

4)

- To convert decimal into ...

#### Solution Summary

To convert decimal into binary, keep diving the number by 2, the remainder obtained is the result (in binary). To convert binary into decimal, multiply each bit by 2n (starting from right), where 'n' is the position of the bit. To convert hexadecimal into binary, replace each letter/number by its binary form.