Содержание
- 2. Outline Different number systems Why use different ones? Binary / Octal / Hexadecimal Conversions Negative number
- 3. Number Systems Four number systems: Decimal (10) Binary (2) Octal (8) Hexadecimal (16)
- 4. Binary numbers Computers work only on two states On Off Basic memory elements hold only two
- 5. Decimal numbers 1439 = 1 x 103 + 4 x 102 + 3 x 101 +
- 6. Binary Decimal 1101 = 1 x 23 + 1 x 22 + 0 x 21 +
- 7. Decimal Binary 13 6 3 1 0 2 2 2 2 1 0 1 1 (13)10
- 8. Octal Decimal 137 = 1 x 82 + 3 x 81 + 7 x 80 =
- 9. Decimal Octal 95 11 1 0 8 8 8 7 3 1 (95)10 = (137)8 MSP
- 10. Hex Decimal BAD = 11 x 162 + 10 x 161 + 13 x 160 =
- 11. Decimal Hex 2989 186 11 0 16 16 16 13 10 11 (2989)10 = (BAD)16 MSP
- 12. Why octal or hex? Ease of use and conversion Three bits make one octal digit 111
- 13. Roman Numerals
- 14. A Brief History of Roman Numerals Roman numerals originated in ancient Rome. This ancient counting system
- 15. Arabic numbers → Roman numerals conversion Roman numerals are written as combinations of seven letters. I
- 16. As a general guide Roman Numerals are made up by adding or subtracting numbers like this:-
- 17. VIII = 5+3 = 8 XIX = 10+ 9 = 19 (Remember 9 is always =
- 18. Check your answers. 7 = VII 12 = XII 15 = XV 20 = XX
- 19. Can you convert these numbers to Roman Numerals? 17 = 22 = 26 = 29 =
- 20. Were you correct? 17=XVII 22=XXII 26=XXVI 29=XXIX 30=XXX 32=XXXII 35=XXXV 50=L 40=XL 44=XLIV 49=XLIX 58=LVIII 60=LX
- 21. Some more large numbers to try: 600 = 700 = 800 = 1000 = 900 =
- 22. Check your answers. 600 = DC 700 = DCC 800 = DCCC 1000 = M 900
- 23. The last one Can you convert 2017? MMXVII Now try to write today’s date. Day /
- 24. Binary Arithmetic Addition Subtraction
- 25. Addition Like normal decimal addition B A The carry out of the MSB is neglected 0101
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