1. Convert:
1.1. 515.0625(10) ® ? (16);
®? (2);
®? (2/10).
®? (8);
Hint: Convert the decimal number first to binary, from binary it is easy to convert to octal and hexadecimal by spiting the binary number into 3-bit or 4-bit groups.
1.2. 776.1(8) ® ? (16);
® ? (3);
® ? (2/10);
Hint: First convert the octal number to binary, from binary to hexadecimal and decimal, from decimal to base 3.
1.3. 1001010110.00100101 (2/10) ® ? (16);
® ? (8).
Hint: First convert the binary-decimal number to decimal, after that to binary. From binary to octal and hexadecimal is a piece of lemon cake.
2. Binary Arithmetic
Calculate the following arithmetic operations
2.1. Addition 11100001 + 11100011 + 1111111 + 0011111;
01111010+10101111 + 0011111
2.2.Multiplication 1100011 *1011
1010100*0111
2.3.Division 1100101/1001
10000111/1101
2.4.Subtraction 1000111 – 1111 – 1011
10101010- 01011111
Remark: All numbers are binary.
3. Fill In
Fill in using scientific notation:
1 Gbyte( giga) memory is ………………………… (recall the not-SI measures for memory)
1 GHz(giga) is ………………………….
1 KHz(kilo) is ………………………….
5 Ti(tebi) is ………………………….
1 Mi (mebi) is ………………………….
1 psec(pico) is ………………………….
1 msec (micro) is ………………………….
1 nsec(nano) is ………………………….
1 msec (mili) is ………………………….
Hint: Hz is Hertz – dimension for frequency, sec is seconds
