Tutorial 1 Solutions

MICROPROCESSOR SYSTEMS TUTORIAL 1 – Revision of number systems and data Refer to Chapter 0 in the course textbook and attempt the following problems: Q1 Convert the following decimal numbers to binary (a) 12 = 1100 b (b) 123 = 111 1011 b (c) 63 = 11 1111 b Q2 Convert the following binary numbers to decimal (a) 100100 = 36 d = 24h (b) 1000001 = 65 d = 41h (c) 11101 = 29 d = 1Dh Q3 Convert the values in Q2 to hexadecimal – see above Q4 Convert the following hex numbers to binary and decimal (a) 2B9H = 0010 1011 1001 b = 697 d (b) F44H = 1111 0100 0100 b = 3908 d (c) 912H = 1001 0001 0010 b = 2322 d Q5 Answer the following: (a) How many nibbles are 16 bits? 4 nibbles (b) How many bytes are 32 bits? 4 bytes (c) If a word is defined as 16 bits, how many words in a 64-bit data item? 4 words (d) What is the exact value (in decimal) of 1 meg? = 1024 x 1024 = 1,048,576 (e) How many K is one meg? 1024 k Q6 A given computer has a 32-bit data bus. What is the largest number that can be carried into the CPU at a time? 2 32 – 1 Q7 Find the total amount of addressable memory locations , in the units requested, f or each of the following CPUs, given the size of the address bus. (1 K = 2 10 ) (a) 16-bit address bus (in K) (b) 24-bit address bus (in M ) 2 6 K = 64 K 2 4 M = 16M (1M = 2 20 ) (c) 32-bit address bus (in M and G ) 4 G = 4096 M (1G = 2 30 = 1024 M) Q8 List the three bus types present in every CPU. Address, data and control